SOLUTION: Find the tangent line of the curve x^3+y^2=9 at the point P(2,1).

Algebra ->  Graphs -> SOLUTION: Find the tangent line of the curve x^3+y^2=9 at the point P(2,1).      Log On


   

Question 560127: Find the tangent line of the curve
x^3+y^2=9 at the point P(2,1).
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Take derivative of both sides with respect to x.

(note that you need dy/dx after 2y because y is a function of x, in which we use the chain rule).

Solving for dy/dx, we get



At x = 2, y = 1, dy/dx = -12/2 = -6.